Answer:
x = 10
Step-by-step explanation:
By the converse of the side-splitter theorem, if
, then KM ∥ JN.
Substitute the expressions into the proportion:

Cross-multiply:
(x – 5)(x+4) = x(x – 3).
Distribute:

Multiply and simplify:

Solve for x: x = 10
Therefore, the value of x that would make KM parallel to JN is 10.
If 12 pairs of socks sell for $5.79, then the unit rate is 12 : 5.79. If we want to find a unit rate for one pair of socks, we need to divide 5.79 by 12:
5.79 / 12 = 0,4825
So the unit rate is 1 : 0.4825
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To find the answer to this, you have multiply both expressions by each other. To do this, you have to multiply each term in the first expression by each term in the second expressions. This yields the following: 3x^4-9x^3-3x^2+5x^3-15x^2-5x+10x^2-30x-10. Combing like terms and simplifying gives the final expression: 3x^4 - 4x^3 - 8x^2 - 35x - 10